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Finding the Fourth Proportional to 1,388.34, 1,915.65 and 798.75

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Solution

The fourth proportional to 1,388.34, 1,915.65 and 798.75 is: 1,102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.34 : 1,915.65 = 798.75 : x
  2. Step 2: Convert to fraction form
    1,388.34/1,915.65 = 798.75/x
  3. Step 3: Cross multiply
    1,388.34x = 1,915.65 × 798.75
  4. Step 4: Simplify right side
    1,388.34x = 1,530,125.44
  5. Step 5: Solve for x
    x = 1,530,125.44/1,388.34
  6. Step 6: Final answer
    x = 1,102.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.